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Finding the Third Proportional to 643,106 and 1,396,924

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Solution

The third proportional to 643,106 and 1,396,924 is: 3,034,331.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,106 : 1,396,924 = 1,396,924 : x
  2. Step 2: Convert to fraction form
    643,106/1,396,924 = 1,396,924/x
  3. Step 3: Cross multiply
    643,106x = 1,396,924 × 1,396,924
  4. Step 4: Simplify right side
    643,106x = 1,951,396,661,776
  5. Step 5: Solve for x
    x = 1,951,396,661,776/643,106
  6. Step 6: Final answer
    x = 3,034,331.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.